Random Graphs, Geometry and Asymptotic Structure (London Mathematical Society Student Texts, Series Number 84) - Softcover

Krivelevich, Michael; Panagiotou, Konstantinos; Penrose, Mathew; McDiarmid, Colin

Softcover

ISBN 10: 1316501914 ISBN 13: 9781316501917

Publisher: Cambridge University Press, 2016

Synopsis

The theory of random graphs is a vital part of the education of any researcher entering the fascinating world of combinatorics. However, due to their diverse nature, the geometric and structural aspects of the theory often remain an obscure part of the formative study of young combinatorialists and probabilists. Moreover, the theory itself, even in its most basic forms, is often considered too advanced to be part of undergraduate curricula, and those who are interested usually learn it mostly through self-study, covering a lot of its fundamentals but little of the more recent developments. This book provides a self-contained and concise introduction to recent developments and techniques for classical problems in the theory of random graphs. Moreover, it covers geometric and topological aspects of the theory and introduces the reader to the diversity and depth of the methods that have been devised in this context.

About this title

Book Description

A self-contained and concise introduction to recent developments, particularly those of a geometric and topological nature, in the theory of random graphs. Such material is seldom covered in the formative study of young combinatorialists and probabilists, making this essential reading for beginning researchers in these fields.

About the Author

Peter Morters is a professor of probability at the University of Bath. Receiving his PhD from the University of London in the area of geometric measure theory, his current interests focus on Bronwnian motion and random walk, stohastic processes in random environments, large deviation theory and,
more recently random networks. Roger Moser is a lecturer of mathematics at the University of Bath. He received his PhD from the Eidgenossische Technische Hochschule Zurich in the area of geometric analysis. Further current research interests include the theory of partial differential equations, the
calculus of variations, geometric measure theory, and applications if mathematical phsyics. Mathew Penrose is a professor of Probability at the University of Bath. His current research interests are mainly in stohastic geometry and interacting particle systems. His monograph "Random Geometric
Graphs" was published by Oxford University Press in 2003. He obtained his PhD in stohastic analysis from the University of Edinburgh. Hartmut Schwetlick is a lecturer of mathematics at the University of Bath. After receiving his PhD from the University of Tubingen in the field of nonlinear transport
equations, he worked on partial differential equations and their applications at ETH Zurich and the Max Planck Institute for Mathematics in teh Sciences, Leipzig. His research interests include analysis of PDE, variational methods in geometric analysis, and nonlinear elasticity. Johannes Zimmer is
currently a lecturer of applied mathematics at the University of Bath.Prior to that, he was head of an Emmy Noether group at the Max Planck Institute for Mathematics in the Sciences, Leipzig. He obtainedhis doctorate from the Technische universitat Munchen. Research interests include the analysis
of lattice dynamical systems, and PDEs, continuum mechanics, and phase transitions.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2016
• ISBN 10: 1316501914
• ISBN 13: 9781316501917
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 127
• Editor: Fountoulakis Nikolaos, Hefetz Dan